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Finding the Third Proportional to 233,313.75 and 345,046.50

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Solution

The third proportional to 233,313.75 and 345,046.50 is: 510,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,313.75 : 345,046.50 = 345,046.50 : x
  2. Step 2: Convert to fraction form
    233,313.75/345,046.50 = 345,046.50/x
  3. Step 3: Cross multiply
    233,313.75x = 345,046.50 × 345,046.50
  4. Step 4: Simplify right side
    233,313.75x = 119,057,087,162.25
  5. Step 5: Solve for x
    x = 119,057,087,162.25/233,313.75
  6. Step 6: Final answer
    x = 510,287.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.